Question

You wish to determine if there linear correlation between the age of a driver and the number of driver deaths. The following table represents the age of a driver and the number of driver deaths per 100,000. Use a significance level of 0.05 and round all values to 4 decimal places.

Driver Age	Number of Driver Deaths per 100,000
28	22
26	30
56	30
52	23
77	33
36	22
78	22
38	26
77	36
62	30

Ho: ρ = 0
Ha: ρ ≠ 0

Find the Linear Correlation Coefficient
r =

Find the p-value
p-value =

Answer 1

Hypothesis:

Ho: ρ = 0
Ha: ρ ≠ 0

Linear Correlation Coefficient:

Driver Age	Number of Driver Deaths per 100,000
28	22
26	30
56	30
52	23
77	33
36	22
78	22
38	26
77	36
62	30
Correlation Coefficient	0.447746073	CORREL(Driver age,Number of Driver Deaths per 100,000)

Test:

t stat = r * SQRT((n-2)/(1-r^2)) = 0.4477*SQRT((10-2)/(1-0.4477^2)) = 1.4161

df = 10-2 = 8, alpha = 0.05

P value = 0.1945

P value > 0.05, Do not reject H0

There is no linear correlation between the age of a driver and the number of driver deaths at a significance level of 0.05